Berachos 2b - Part 2

We previously stated that one begins the recitation of the evening shma from the time that the kohanim enter to eat terumah. Now, the gemara asks from a baraissa which states that the time is actually "from the time that a poor man enters to eat his bread until the time that he gets up from the meal".

Now the end of the statement (regarding when the zman for shma ends) is certainly against our mishna. What about the beginning of the statement?

The gemara answers that it could be that a kohen eats terumah at the some time a poor man sits down to his bread. Thus, it is possible that there is no contradiction.